Solve (x^{3}y^4z)(x^4y^3z^5)

$$( x ^ { 3 } y ^ { 4 } z ) ( x ^ { 4 } y ^ { 3 } z ^ { 5 } )$$

Evaluate

$$z^{6}\left(xy\right)^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$x^{3}y^{4}z^{1}x^{4}y^{3}z^{5}$$

Use the Commutative Property of Multiplication.

$$x^{3}x^{4}y^{4}y^{3}z^{1}z^{5}$$

To multiply powers of the same base, add their exponents.

$$x^{3+4}y^{4+3}z^{1+5}$$

Add the exponents 3 and 4.

$$x^{7}y^{4+3}z^{1+5}$$

Add the exponents 4 and 3.

$$x^{7}y^{7}z^{1+5}$$

Add the exponents 1 and 5.

$$x^{7}y^{7}z^{6}$$

Differentiate w.r.t. x

$$7y^{7}\left(xz\right)^{6}$$